Question

8 which of the following statements are true? select all that apply.
a ( 4 > -17 ) because 4 is to the right of ( -17 ) on a horizontal number line.
b ( 4 > -17 ) because 4 is to the left of ( -17 ) on a horizontal number line.
c ( 4 > -17 ) because ( -17 ) is to the right of 4 on a horizontal number line.
d ( 4 > -17 ) because 4 is above ( -17 ) on a vertical number line.
e ( 4 > -17 ) because 4 is below ( -17 ) on a vertical number line.
f ( 4 > -17 ) because ( -17 ) is below 4 on a vertical number line.

Explanation:

To determine the true statements, we analyze the position of numbers on number lines:

• Horizontal Number Line: Numbers increase from left to right. So, a number to the right of another is greater. 4 is to the right of -17, so \( 4 > -17 \). Thus, option A is correct (4 is right of -17), and B, C are incorrect (B says 4 is left, C says -17 is right of 4).
• Vertical Number Line: Numbers increase from bottom to top. So, a number above another is greater. 4 is above -17, and -17 is below 4. Thus, option D (4 is above -17) and F (-17 is below 4) are correct. Option E is incorrect (says 4 is below -17).

Answer:

A. \( 4 > -17 \) because 4 is to the right of \( -17 \) on a horizontal number line.
D. \( 4 > -17 \) because 4 is above \( -17 \) on a vertical number line.
F. \( 4 > -17 \) because \( -17 \) is below 4 on a vertical number line.